Definition:Stellation

Definition

Stellation is the process of extending the extremities of a geometric figure in a specifically structured way, in order to form new figures from those extensions.

The figure so generated is itself known as a stellation or a stellated original figure.

Polygon

A stellation of a polygon $P$ is a plane figure formed by extending the sides of $P$ until they meet.

Polyhedron

A stellation of a polyhedron $H$ is a solid figure formed by extending the faces of $H$ until they meet.

Linguistic Note

The word stellation derives from the Latin stellātus, meaning starred, which in turn comes from the Latin stella, meaning star.